Question

Prove that (n+5)2-(n+3)2 is a multiple of 4 for all positive integer values of n

Answer 1

Answer:

Step-by-step explanation:

$(n+5)^2-(n+3)^2=(n+5+n+3)(n+5-n-3)=(2n+8)(2)=4(n+4)$

is a multiple of 4.